Quantum transport in a periodic symmetric potential of a driven quantum system

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 4, 2009, Pages

  Bhattacharya, Satyabrata ^a   Chaudhury, Pinaki ^b   Chattopadhyay, Sudip ^a   Chaudhuri, Jyotipratim Ray ^c  

^a INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

^b UNIVERSITY OF CALCUTTA   (India)

^c Katwa College ^*  (India)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; EXTERNAL NOISE; FINITE CORRELATION TIME; MULTIPLICATIVE NOISE; NOISE STRENGTH; NONLINEAR COUPLING; PERIODIC POTENTIALS; QUANTUM CURRENTS; QUANTUM LANGEVIN EQUATIONS; QUANTUM STATE; QUANTUM SYSTEM; QUANTUM TRANSPORT; SMOLUCHOWSKI EQUATION; THERMAL EQUILIBRIUMS;

NONLINEAR EQUATIONS; QUANTUM ELECTRONICS; QUANTUM OPTICS;

QUANTUM CHEMISTRY;

EID: 70449442757     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.041127     Document Type: Article

References (81)

1. W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973).
2. A. G. Redfield, IBM J. Res. Dev. 1, 19 (1957)
3. R. K. Wangsness and F. Bloch, Phys. Rev. 89, 728 (1953). 10.1103/PhysRev.89.728
4. J. Ankerhold, P. Pechukas, and H. Grabert, Phys. Rev. Lett. 87, 086802 (2001) 10.1103/PhysRevLett.87.086802
5. J. Ankerhold, H. Grabert, and P. Pechukas, Chaos 15, 026106 (2005) 10.1063/1.1855731
6. W. Koch, F. Grossmann, J. T. Stockburger, and J. Ankerhold, Phys. Rev. Lett. 100, 230402 (2008). 10.1103/PhysRevLett.100.230402
7. R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics (Addison-Wesley, Reading, MA, 1966), Vol. 1
8. J. K. Bhattacharjee, Statistical Physics: Equilibrium and Non-equilibrium Aspects (Allied Publishers Pvt. Limited, Kolkata, 2002).
9. F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997). 10.1103/RevModPhys.69.1269
10. P. Reimann, Phys. Rep. 361, 57 (2002). 10.1016/S0370-1573(01)00081-3
11. R. Lipowsky, Y. Chai, S. Klumpp, S. Liepelt, and M. J. I. Müller, Physica A 372, 34 (2006) 10.1016/j.physa.2006.05.019
12. D. Chowdhury, Physica A 372, 84 (2006) 10.1016/j.physa.2006.05.005
13. G. I. Menon, Physica A 372, 96 (2006). 10.1016/j.physa.2006.05.025
14. D. Barik, D. Banerjee, and D. S. Ray, in Progress in Chemical Physics Research, edited by, A. N. Linke, (Nova Publishers, New York, 2006), Vol. 1.
15. J. Ankerhold, Phys. Rev. E 64, 060102 (R) (2001) 10.1103/PhysRevE.64. 060102
16. J. Ankerhold and E. Pollak, Phys. Rev. E 75, 041103 (2007). 10.1103/PhysRevE.75.041103
17. P. K. Ghosh and J. R. Chaudhuri, J. Stat. Mech.: Theory Exp. (2008), P02014. 10.1088/1742-5468/2008/02/P02014
18. M. J. Henrich, G. Mahler, and M. Michel, Phys. Rev. E 75, 051118 (2007). 10.1103/PhysRevE.75.051118
19. D. Segal, Phys. Rev. Lett. 101, 260601 (2008). 10.1103/PhysRevLett.101. 260601
20. H. Linke, T. E. Humphrey, and P. E. Lindelof, Appl. Phys. A: Mater. Sci. Process. 75, 237 (2002) 10.1007/s003390201335
21. T. E. Humphrey, R. Newbury, R. P. Taylor, and H. Linke, Phys. Rev. Lett. 89, 116801 (2002). 10.1103/PhysRevLett.89.116801
22. J. B. Majer, J. Peguiron, M. Grifoni, M. Tusveld, and J. E. Mooij, Phys. Rev. Lett. 90, 056802 (2003). 10.1103/PhysRevLett.90.056802
23. P. H. Jones, M. Goonasekera, D. R. Meacher, T. Jonckheere, and T. S. Monteiro, Phys. Rev. Lett. 98, 073002 (2007). 10.1103/PhysRevLett.98.073002
24. J. R. Chaudhuri, D. Barik, and S. K. Banik, Phys. Rev. E 73, 051101 (2006) 10.1103/PhysRevE.73.051101
25. J. R. Chaudhuri, S. Chattopadhyay, and S. K. Banik, Phys. Rev. E 76, 021125 (2007) 10.1103/PhysRevE.76.021125
26. J. R. Chaudhuri, S. Chattopadhyay, and S. K. Banik, J. Chem. Phys. 128, 154513 (2008) 10.1063/1.2901044
27. J. R. Chaudhuri, D. Barik, and S. K. Banik, J. Phys. A: Math. Theor. 40, 14715 (2007) 10.1088/1751-8113/40/49/007
28. P. Chaudhury, B. Mukherjee, S. Chattopadhyay, and J. R. Chaudhuri, Phys. Chem. Chem. Phys. 10, 6097 (2008) 10.1039/b808703b
29. S. Bhattacharya, S. K. Banik, S. Chattopadhyay, and J. R. Chaudhuri, J. Math. Phys. 49, 063302 (2008). 10.1063/1.2942416
30. A. Barone and G. Paterb, Physics and Applications of the Josephson Effects (Wiley, New York, 1982).
31. J. Ankerhold, Europhys. Lett. 61, 301 (2003). 10.1209/epl/i2003-00323-8
32. J. W. M. Frenken and J. F. van der Veen, Phys. Rev. Lett. 54, 134 (1985). 10.1103/PhysRevLett.54.134
33. H. Sakaguchi, Prog. Theor. Phys. 79, 39 (1988). 10.1143/PTP.79.39
34. D. Dan and A. M. Jayannavar, Phys. Rev. E 66, 041106 (2002). 10.1103/PhysRevE.66.041106
35. S. Leibler, Nature (London) 370, 412 (1994) 10.1038/370412a0
36. J. Maddox, Nature (London) 365, 203 (1993) 10.1038/365203a0
37. J. Maddox, Nature (London) 368, 287 (1994). 10.1038/368287a0
38. M. Borromeo and F. Marchesoni, Phys. Rev. E 73, 016142 (2006). 10.1103/PhysRevE.73.016142
39. M. O. Magnasco, Phys. Rev. Lett. 71, 1477 (1993) 10.1103/PhysRevLett.71. 1477
40. S. Savel'ev, F. Marchesoni, and F. Nori, Phys. Rev. E 71, 011107 (2005). 10.1103/PhysRevE.71.011107
41. P. Reimann, C. Van den Broeck, H. Linke, P. Hänggi, J. M. Rubi, and A. Perez-Madrid, Phys. Rev. E 65, 031104 (2002) 10.1103/PhysRevE.65.031104.
42. P. Reimann and P. Hänggi, Appl. Phys. A: Mater. Sci. Process. 75, 169 (2002) 10.1007/s003390201331
43. J. M. R. Parrondo and B. J. de Cisneros, Appl. Phys. A: Mater. Sci. Process. 75, 179 (2002) 10.1007/s003390201332
44. H. Wang and G. Oster, Appl. Phys. A: Mater. Sci. Process. 75, 315 (2002). 10.1007/s003390201340
45. J. Howard, Mechanics of Motor Proteins and the Cytoskeletons (Sinauer Associates, Sunderland, 2001).
46. P. J. Strauman, Photovoltaic and Photoreflective Effects in Nanocentrosymmetric Materials (Gordan and Breach, Philadelphia, 1992).
47. C. R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. 72, 2984 (1994). 10.1103/PhysRevLett.72.2984
48. A. Ajdari, D. Mukamel, L. Peliti and J. Prost, J. Phys.(France) 4, 1551 (1994) 10.1051/jp1:1994206
49. M. C. Mahato and A. M. Jayannavar, Phys. Lett. A 209, 21 (1995). 10.1016/0375-9601(95)00772-9
50. M. M. Millonas, Phys. Rev. Lett. 74, 10 (1995). 10.1103/PhysRevLett.74.10
51. M. Büttiker, Z. Phys. B: Condens. Matter 68, 161 (1987). 10.1007/BF01304221
52. W. Horsthemke and R. Lefever, Noise-Induced Transitions (Springer-Verlog, Berlin, 1984).
53. S. Bhattacharya, P. Chaudhury, S. Chattopadhyay, and J. R. Chaudhuri, Phys. Rev. E 78, 021123 (2008). 10.1103/PhysRevE.78.021123
54. B. R. Mollow and M. M. Miller, Ann. Phys. (N.Y.) 52, 464 (1969). 10.1016/0003-4916(69)90289-9
55. M. Grifoni, M. S. Ferreira, J. Peguiron, and J. B. Majer, Phys. Rev. Lett. 89, 146801 (2002) 10.1103/PhysRevLett.89.146801
56. S. Scheidl and V. M. Vinokur, Phys. Rev. B 65, 195305 (2002). 10.1103/PhysRevB.65.195305
57. K. Lindenberg and B. J. West, The Nonequilibrium Statistical Mechanics of Open and Closed Systems (VCH, New York, 1990).
58. K. Lindenberg and V. Seshadri, Physica A 109, 483 (1981) 10.1016/0378-4371(81)90007-8
59. K. Lindenberg and E. Corte's, Physica A 126, 489 (1984). 10.1016/0378-4371(84)90214-0
60. J. M. Sancho, M. S. Miguel, and D. Düerr, J. Stat. Phys. 28, 291 (1982). 10.1007/BF01012607
61. N. G. van Kampen, IBM J. Res. Dev. 32, 107 (1988)
62. S. Fekade and M. Bekele, Eur. Phys. J. B 26, 369 (2002).
63. E. Pollak and A. M. Berezhkovskii, J. Chem. Phys. 99, 1344 (1993). 10.1063/1.465379
64. K. Okumura and Y. Tanimura, Phys. Rev. E 56, 2747 (1997) 10.1103/PhysRevE.56.2747
65. T. Kato and Y. Tanimura, J. Chem. Phys. 120, 260 (2004). 10.1063/1.1629272
66. J. D. Bao, Phys. Rev. A 65, 052120 (2002). 10.1103/PhysRevA.65.052120
67. A. V. Barzykin and K. Seki, Eurphys. Lett. 40, 117 (1997) 10.1209/epl/i1997-00433-3
68. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchensoni, Rev. Mod. Phys. 70, 223 (1998). 10.1103/RevModPhys.70.223
69. O. V. Gerashchenko, S. L. Ginzburg, and M. A. Pustovoit, JETP Lett. 67, 997 (1998). 10.1134/1.567779
70. See for example R. Krishnan, M. C. Mahato, and A. M. Jayannavar, Phys. Rev. E 70, 021102 (2004). 10.1103/PhysRevE.70.021102
71. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983). 10.1016/0378-4371(83)90013-4
72. T. Steffen and Y. Tanimura, J. Phys. Soc. Jpn. 69, 3115 (2000). 10.1143/JPSJ.69.3115
73. D. Barik and D. S. Ray, J. Stat. Phys. 120, 339 (2005). 10.1007/s10955-005-5251-y
74. Y. Tanimura and P. G. Wolynes, J. Chem. Phys. 96, 8485 (1992) 10.1063/1.462301
75. Y. Tanimura and T. Steffen, J. Phys. Soc. Jpn. 69, 4095 (2000) 10.1143/JPSJ.69.4095
76. A. Ishizaki and Y. Tanimura, J. Chem. Phys. 125, 084501 (2006). 10.1063/1.2244558
77. J. F. Wambaugh, C. Reichhardt, C. J. Olson, F. Marchesoni, and F. Nori, Phys. Rev. Lett. 83, 5106 (1999) 10.1103/PhysRevLett.83.5106
78. B. Y. Zhu, F. Marchesoni, V. V. Moshchalkov, and F. Nori, Phys. Rev. B 68, 014514 (2003) 10.1103/PhysRevB.68.014514
79. J. E. Villegas, S. Savel'ev, F. Nori, E. M. Gonzalez, J. V. Anguita, R. Garcia, and J. L. Vicent, Science 302, 1188 (2003). 10.1126/science.1090390
80. V. S. Morozov, A. W. Chao, A. D. Krisch, M. A. Leonova, R. S. Raymond, D. W. Sivers, V. K. Wong, A. Garishvili, R. Gebel, A. Lehrach, B. Lorentz, R. Maier, D. Prashn, H. Stockhorst, D. Welsch, F. Hinterberger, K. Ulbrich, A. Schnase, E. J. Stephenson, N. P. M. Brantjes, C. J. G. Onderwater, and M. da Silva, Phys. Rev. Lett. 100, 054801 (2008). 10.1103/PhysRevLett.100.054801
81. I. Dana, V. Ramareddy, I. Talukdar, and G. S. Summy, Phys. Rev. Lett. 100, 024103 (2008). 10.1103/PhysRevLett.100.024103